Model 2

Description of the model


This second model is a slight variant of the first, in which we assign a specific \(\alpha\) to each predator. In doing so, we can isolate difference between predator, to check if some predator seems to be different from the whole. \[\begin{align} F_{ij}^{real} &= \alpha_{j} * B_i * \frac{B_j}{M_j} \end{align}\]

This model was fit with a hierarchy implemented on the alpha parameter. A global alpha was estimated, with 118 respective unique alphas for each predators.

Summary table

Summary table model 2
mean se_mean sd 2.5% 25% 50% 75% 97.5% n_eff Rhat
a_pop -10.218115 0.0028599 0.3273803 -10.854945 -10.443121 -10.218501 -9.998045 -9.582319 13104.332 0.9998744
a_sd 3.468383 0.0021624 0.2303778 3.055874 3.306278 3.453411 3.614110 3.964302 11350.477 0.9997395
sigma 1.682513 0.0004158 0.0406853 1.606718 1.654718 1.680976 1.709375 1.764458 9572.696 0.9997438

Exploring parameters posterior distribution

Respective predator alphas

One-one plot of simulation against data